52812292491000 has 1536 divisors, whose sum is σ = 214099919953920. Its totient is φ = 11927575296000.

The previous prime is 52812292490953. The next prime is 52812292491001. The reversal of 52812292491000 is 19429221825.

52812292491000 is a `hidden beast` number, since 5 + 2 + 81 + 229 + 249 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52812292491001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57971780545 + ... + 57971781455.

It is an arithmetic number, because the mean of its divisors is an integer number (139387968720).

Almost surely, 2^{52812292491000} is an apocalyptic number.

52812292491000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52812292491000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107049959976960).

52812292491000 is an abundant number, since it is smaller than the sum of its proper divisors (161287627462920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52812292491000 is a wasteful number, since it uses less digits than its factorization.

52812292491000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 52812292491000 in words is "fifty-two trillion, eight hundred twelve billion, two hundred ninety-two million, four hundred ninety-one thousand".